0545175 20230418204220.620210903235959.9 000692317500004 85112640995 10.1007/s00526-021-02067-6 54 s. P cav_un_epca*02523290944-266960Springer Mechanics of deformable solids Calculus of variations and optimal control Variational inequalities Variational methods for problems in mechanics cav_un_auth*0390416 Gidoni Paolo UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR IT Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0311175 Riva F. CH http://library.utia.cas.cz/separaty/2021/MTR/gidoni-0545175.pdf https://link.springer.com/article/10.1007/s00526-021-02067-6 GF19-29646L GA ČR CZ cav_un_auth*0385134 8J19AT013 GA MŠk CZ cav_un_auth*0385123 We study the approximation of finite-dimensional rate-independent quasistatic systems, via a vanishing-inertia asymptotic analysis of dynamic evolutions. We prove the uniform convergence of dynamic solutions to a rate-independent one, employing the variational concept of energetic solution. Motivated by applications in soft locomotion, we allow time-dependence of the dissipation potential, and translation invariance of the potential energy. WOS BA 10000 10100 10102 2022 2 RVO:67985556 http://hdl.handle.net/11104/0321922 1 S 191 1 Article Mathematics Applied|Mathematics C MATHEMATICS.APPLIED|MATHEMATICS 2.340 0.47 6.6 0.01459 1.696 5227 87 2.062 35.29 1.82 1110 Q1 1.980 234 Q1 81.6 Q1* Q1* 1.31 Q1 89.94 2021 85112640995 SCOPUS PUBMED 000692317500004 WOS cav_un_epca*0252329 Calculus of Variations and Partial Differential Equations 0944-2669 1432-0835 Roč. 60 č. 1 2021 Springer